Līlāvatī of Bhāskarācārya: A Treatise of Mathematics of Vedic Tradition : with Rationale in Terms of Modern Mathematics Largely Based on N.H. Phadke's Marāthī Translation of Līlāvatī

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Motilal Banarsidass Publ., 2001 - Hindu mathematics - 201 pages

In 1150 AD, Bhaskaracarya (b. 1114 AD), renowned mathematician and astronomer of Vedic tradition composed Lilavati as the first part of his larger work called Siddhanta Siromani, a comprehensive exposition of arithmetic, algebra, geometry, mensuration, number theory and related topics. Lilavati has been used as a standard textbook for about 800 years. This lucid, scholarly and literary presentation has been translated into several languages of the world. Bhaskaracarya himself never gave any derivations of his formulae. N.H. Phadke (1902-1973) worked hard to construct proofs of several mathematical methods and formulae given in original Lilavati. The present work is an enlargement of his Marathi work and attempts a thorough mathematical explanation of definitions, formulae, short cuts and methodology as intended by Bhaskara. Stitches are followed by literal translations so that the reader can enjoy and appreciate the beauty of accurate and musical presentation in Lilavati. The book is useful to school going children, sophomores, teachers, scholars, historians and those working for cause of mathematics.

 

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Contents

Līlāvati
1
Definitions and Tables
3
Place Values of Digits
9
Addition and Subtraction
11
Methods of Multiplication
13
Division
17
Methods of Finding Squares
19
Square Root
23
Method to Find the Cube
27
Cube Roots
31
Eight Operations on Fractions
33
Addition and Subtraction of Fractions
39
Multiplication of Fractions
41
Division of Fractions
43
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Page vii - Arithmetic has a very great and elevating effect, compelling the soul to reason about abstract numbers, and

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